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Finding the Fourth Proportional to 6,245.28, 9,376.16 and 5,729.51

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Solution

The fourth proportional to 6,245.28, 9,376.16 and 5,729.51 is: 8,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.28 : 9,376.16 = 5,729.51 : x
  2. Step 2: Convert to fraction form
    6,245.28/9,376.16 = 5,729.51/x
  3. Step 3: Cross multiply
    6,245.28x = 9,376.16 × 5,729.51
  4. Step 4: Simplify right side
    6,245.28x = 53,720,797.27
  5. Step 5: Solve for x
    x = 53,720,797.27/6,245.28
  6. Step 6: Final answer
    x = 8,601.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.